International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 952036, 10 pages
doi:10.1155/2010/952036
Research Article

On Differential Subordinations of Multivalent Functions Involving a Certain Fractional Derivative Operator

Jae Ho Choi

Department of Mathematics Education, Daegu National University of Education, 1797-6 Daemyong 2 dong, Namgu, Daegu 705-715, South Korea

Received 18 December 2009; Accepted 28 February 2010

Academic Editor: Mohamed Kamal Aouf

Copyright © 2010 Jae Ho Choi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We investigate several results concerning the differential subordination of analytic and multivalent functions which is defined by using a certain fractional derivative operator. Some special cases are also considered.